 | James Hodgson - Astronomy - 1723 - 724 pages
...every Oblique-angled Spherical Triangle it will be, . As the Sine of half the Sum of any two Sides, Is to the Sine of half their Difference ; So is the Co-tangent...half the contained Angle, To the Tangent of half the Difierence of the'oppofite Angles. > And again, As the Co-fine of half the Sura of the two Sides, To... | |
 | Richard Lovett - Compasses (Mathematical instruments) - 1766 - 610 pages
...which folves that Problem without a perpendicular, by the following projportion, > • • % P pp 2 As As the Sine of half the Sum of two Sides, to the fine of half their difference ; fo is the Co-tangent of half the contained Angle, to the Tangent of... | |
 | Mathematics - 1801 - 658 pages
...it is contained in the following Theorems. THEOREM IV. As the sine of half the sum of two sides . Is to the sine of half their difference, So is the cotangent of half their contained angle To the tangent of half the difference of the other angles, I NOTE. NOTE. It"... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...When two tides and an included angle are given:— 1. As the sine of half the sum of the two side* is to the sine of half their difference so is the cotangent of half their contained angle to the tangent of half the difference of the other angles ; and again, 2. As... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...the tangent of half the sum of the other two angles. And As the sine of half the sum of two sides is to the sine of half their difference, so is the cotangent of half the included angle to the tangent of half the difference of tlie other two angles. This is the first of... | |
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As the cosine of half the sum of the two sides is to the cosine of half their difference, so is the cotangent of half the contained angle to the tangent of half the sum of the other two angles. 